**Answer:**

the probability of the consumer’s shopping in location 1 is 50.6 %

the probability of the consumer’s shopping in location 2 is 29.9 %

the probability of the consumer’s shopping in location 3 is 19.4 %

**Explanation:**

Huff’s law is a mathematical model that takes consideration in the relation between the patronage and distance from location of the shopping area.

The equation for this mathematical model can be expressed as :

Where;

Probability of a consumer travelling from home (i) to shopping location (j)

= Travel time from consumer’s home (i) to shopping location (j)

= Dataset used to determine the effect of travel time in different kinds of shopping trips

n = Number of different shopping location.

NOW; from the given information.

for location 1 , the consumer shopping probability is :

Thus; the probability of the consumer’s shopping in location 1 is 50.6 %

for location 2 , the consumer shopping probability is :

Thus; the probability of the consumer’s shopping in location 2 is 29.9 %

for location 3 , the consumer shopping probability is :

Thus; the probability of the consumer’s shopping in location 3 is 19.4 %